login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A371027 a(n) = Sum_{k=1..n} binomial(n, k) * Pochhammer(1/4, k) * 4^k * a(n - k) for n > 0 and a(0) = 1. Row sums of triangle A371026. 1
1, 1, 7, 81, 1299, 26565, 659655, 19256265, 645765435, 24453391725, 1031685317775, 47978413923825, 2437962646702275, 134374287343821525, 7984095179348863575, 508687013361879977625, 34593307096333435324875, 2500919993138258679112125, 191526329081848509391017375 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,3
LINKS
MAPLE
a := proc(n) option remember; local k; if n = 0 then 1 else
add(binomial(n, k) * pochhammer(1/4, k) * 4^k * a(n - k), k = 1..n) fi end:
seq(a(n), n = 0..19);
CROSSREFS
Sequence in context: A339710 A112119 A369024 * A058575 A355220 A285062
KEYWORD
nonn
AUTHOR
Peter Luschny, Mar 08 2024
STATUS
approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified July 18 21:02 EDT 2024. Contains 374388 sequences. (Running on oeis4.)